{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "x, y = make_blobs(n_samples=100, centers=4, n_features=2, cluster_std=[1, 1.5, 2, 2], random_state=7)\n",
    "\n",
    "df_blobs = pd.DataFrame(\n",
    "    {\n",
    "        'x1': x[:,0],\n",
    "        'x2': x[:,1],\n",
    "        'y': y\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_2d_clusters(x, y, ax):\n",
    "    \n",
    "    y_uniques = pd.Series(y).unique()\n",
    "    \n",
    "    for y_unique_item in y_uniques:\n",
    "        x[\n",
    "            y == y_unique_item\n",
    "        ].plot(\n",
    "            title=f'{len(y_uniques)} Clusters',\n",
    "            kind='scatter',\n",
    "            x='x1',\n",
    "            y='x2',\n",
    "            marker=f'${y_unique_item}$',\n",
    "            s=60,\n",
    "            color='k',\n",
    "            ax=ax,\n",
    "            alpha=0.7\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(10, 6), sharey=False)\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "plot_2d_clusters(x, y, ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-Means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(n_clusters=5, random_state=7)\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "y_pred = kmeans.fit_predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(14, 6), sharey=False)\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "plot_2d_clusters(x, y_pred, axs[1])\n",
    "\n",
    "axs[0].set_title(f'Actuals: {axs[0].get_title()}')\n",
    "axs[1].set_title(f'KMeans: {axs[1].get_title()}')\n",
    "\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is the right number of clusters?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "n_clusters_options = [2, 4, 6]\n",
    "\n",
    "fig, axs = plt.subplots(1, len(n_clusters_options), figsize=(16, 6), sharex=True, sharey=True)\n",
    "\n",
    "for i, n_clusters in enumerate(n_clusters_options):\n",
    "    \n",
    "    x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "\n",
    "    kmeans = KMeans(n_clusters=n_clusters, random_state=7)\n",
    "    y_pred = kmeans.fit_predict(x)\n",
    "    \n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "    \n",
    "    axs[i].plot(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], 'k^', ms=12, alpha=0.75)\n",
    "    axs[i].set_title(f'KMeans Clustering: {axs[i].get_title()}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Silhouette Score\n",
    "\n",
    "Advantages:\n",
    "- The score is bounded between -1 for incorrect clustering and +1 for highly dense clustering. Scores around zero indicate overlapping clusters.\n",
    "- The score is higher when clusters are dense and well separated, which relates to a standard concept of a cluster.\n",
    "\n",
    "Drawbacks:\n",
    "- The Silhouette Coefficient is generally higher for convex clusters than other concepts of clusters, such as density based clusters like those obtained through DBSCAN.\n",
    "\n",
    "Source: [Scikit-Learn User Guide](https://scikit-learn.org/stable/modules/clustering.html#clustering-performance-evaluation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import silhouette_score\n",
    "\n",
    "n_clusters_options = [2, 3, 4, 5, 6, 7, 8]\n",
    "silhouette_scores = []\n",
    "\n",
    "for i, n_clusters in enumerate(n_clusters_options):\n",
    "\n",
    "    x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "    kmeans = KMeans(n_clusters=n_clusters, random_state=7)\n",
    "    y_pred = kmeans.fit_predict(x)\n",
    "\n",
    "    silhouette_scores.append(silhouette_score(x, y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(12, 6), sharey=False)\n",
    "\n",
    "pd.DataFrame(\n",
    "    {\n",
    "        'n_clusters': n_clusters_options,\n",
    "        'silhouette_score': silhouette_scores,\n",
    "    }\n",
    ").set_index('n_clusters').plot(\n",
    "    title='KMeans: Silhouette Score vs # Clusters chosen',\n",
    "    kind='bar',\n",
    "    color='k',\n",
    "    ax=ax\n",
    ")\n",
    "\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clusters Initial Centroids and Conversion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "random_state_options = [1, 2, 3]\n",
    "\n",
    "fig, axs = plt.subplots(1, len(random_state_options), figsize=(16, 6), sharex=True, sharey=True)\n",
    "\n",
    "for i, random_state in enumerate(random_state_options):\n",
    "    \n",
    "    x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "    kmeans = KMeans(init='random', max_iter=2, n_clusters=6, random_state=random_state)\n",
    "    y_pred = kmeans.fit_predict(x)\n",
    "    \n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "    \n",
    "    axs[i].plot(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], 'k^', ms=12, alpha=0.75)\n",
    "    \n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nKMeans, random_state={random_state}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Non-Convex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "\n",
    "x, y = make_moons(n_samples=120, noise=0.08, random_state=7)\n",
    "\n",
    "df_moons = pd.DataFrame(\n",
    "    {\n",
    "        'x1': x[:,0],\n",
    "        'x2': x[:,1],\n",
    "        'y': y\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(10, 6), sharey=False)\n",
    "\n",
    "x, y = df_moons[['x1', 'x2']], df_moons['y']\n",
    "plot_2d_clusters(x, y, ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(n_clusters=2, random_state=7)\n",
    "\n",
    "x, y = df_moons[['x1', 'x2']], df_blobs['y']\n",
    "y_pred = kmeans.fit_predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_moons[['x1', 'x2']], df_moons['y']\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "plot_2d_clusters(x, y_pred, axs[1])\n",
    "\n",
    "axs[0].set_title(f'Actuals: {axs[0].get_title()}')\n",
    "axs[1].set_title(f'KMeans Clustering: {axs[1].get_title()}')\n",
    "\n",
    "axs[1].plot(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], 'k^', ms=12, alpha=0.75)\n",
    "\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imbalanced Clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "x, y = make_blobs(n_samples=[400, 20], cluster_std=[1.3, 1.2], n_features=2, random_state=7)\n",
    "\n",
    "df_imbalanced_blobs = pd.DataFrame(\n",
    "    {\n",
    "        'x1': x[:,0],\n",
    "        'x2': x[:,1],\n",
    "        'y': y\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(10, 6), sharey=False)\n",
    "\n",
    "x, y = df_imbalanced_blobs[['x1', 'x2']], df_imbalanced_blobs['y']\n",
    "plot_2d_clusters(x, y, ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(n_clusters=2, random_state=7)\n",
    "\n",
    "x, y = df_imbalanced_blobs[['x1', 'x2']], df_imbalanced_blobs['y']\n",
    "y_pred = kmeans.fit_predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_imbalanced_blobs[['x1', 'x2']], df_imbalanced_blobs['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "plot_2d_clusters(x, y_pred, axs[1])\n",
    "\n",
    "axs[0].set_title(f'Actuals: {axs[0].get_title()}')\n",
    "axs[1].set_title(f'KMeans Clustering: {axs[1].get_title()}')\n",
    "\n",
    "axs[1].plot(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], 'k^', ms=12, alpha=0.75)\n",
    "\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Agglomerative Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0, 3, 1, 3, 1, 0, 2, 3, 0, 0, 2, 0, 3, 1, 0, 0, 2, 0, 3, 1, 3,\n",
       "       3, 0, 2, 3, 2, 2, 0, 1, 0, 0, 1, 0, 0, 3, 2, 3, 1, 3, 0, 1, 1, 2,\n",
       "       1, 2, 3, 3, 2, 3, 2, 0, 2, 0, 1, 3, 1, 0, 1, 1, 1, 0, 1, 2, 3, 2,\n",
       "       3, 2, 2, 1, 3, 2, 3, 3, 2, 2, 2, 2, 0, 1, 1, 1, 3, 0, 2, 0, 2, 3,\n",
       "       3, 1, 0, 1, 3, 0, 2, 2, 0, 1, 3, 1])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "\n",
    "# agglo = AgglomerativeClustering(n_clusters=None, distance_threshold=0)\n",
    "agglo = AgglomerativeClustering(n_clusters=4)\n",
    "y_pred = agglo.fit_predict(x)\n",
    "\n",
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agglo.n_leaves_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 99)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.shape[0], len(agglo.children_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[182, 193],\n",
       "       [188, 192],\n",
       "       [189, 191],\n",
       "       [194, 195],\n",
       "       [196, 197]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agglo.children_[-5:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_children(node, n_samples):\n",
    "    if node[0] >= n_samples:\n",
    "        child_cluster_id = node[0] - n_samples\n",
    "        left = get_children(\n",
    "            agglo.children_[child_cluster_id], \n",
    "            n_samples\n",
    "        )\n",
    "    else:\n",
    "        left = node[0]\n",
    "        \n",
    "    if node[1] >= n_samples:\n",
    "        child_cluster_id = node[1] - n_samples\n",
    "        right = get_children(\n",
    "            agglo.children_[child_cluster_id], \n",
    "            n_samples\n",
    "        )\n",
    "    else:\n",
    "        right = node[1]\n",
    "    \n",
    "    return [left, right]\n",
    "\n",
    "root = agglo.children_[-1]\n",
    "n_samples = df_blobs.shape[0]\n",
    "\n",
    "tree = get_children(root, n_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[[46, [[25, 73], [21, 66]]], [87, 88]],\n",
       " [[[22, 64], [4, [49, 98]]],\n",
       "  [[19, [55, 72]], [[37, 70], [[[47, 82], [13, [39, 92]]], [2, [8, 35]]]]]]]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tree[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'46, 25, 73, 21, 66, 87, 88, 22, 64, 4, 49, 98, 19, 55, 72, 37, 70, 47, 82, 13, 39, 92, 2, 8, 35'"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def flatten(sub_tree, flat_list):\n",
    "    if type(sub_tree) is not list:\n",
    "        flat_list.append(sub_tree)\n",
    "    else:\n",
    "        r, l = sub_tree\n",
    "        flatten(r, flat_list)\n",
    "        flatten(l, flat_list)\n",
    "\n",
    "flat_list = []\n",
    "flatten(tree[0][0], flat_list)\n",
    "flat_list\n",
    "\n",
    "', '.join([f'{item}' for item in flat_list])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0, 3, 1, 3, 1, 0, 2, 3, 0, 0, 2, 0, 3, 1, 0, 0, 2, 0, 3, 1, 3,\n",
       "       3, 0, 2, 3, 2, 2, 0, 1, 0, 0, 1, 0, 0, 3, 2, 3, 1, 3, 0, 1, 1, 2,\n",
       "       1, 2, 3, 3, 2, 3, 2, 0, 2, 0, 1, 3, 1, 0, 1, 1, 1, 0, 1, 2, 3, 2,\n",
       "       3, 2, 2, 1, 3, 2, 3, 3, 2, 2, 2, 2, 0, 1, 1, 1, 3, 0, 2, 0, 2, 3,\n",
       "       3, 1, 0, 1, 3, 0, 2, 2, 0, 1, 3, 1])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 3., 0., 1., 0., 1., 3., 2., 0., 3., 3., 2., 3., 0., 1., 3., 3.,\n",
       "       2., 3., 0., 1., 0., 0., 3., 2., 0., 2., 2., 3., 1., 3., 3., 1., 3.,\n",
       "       3., 0., 2., 0., 1., 0., 3., 1., 1., 2., 1., 2., 0., 0., 2., 0., 2.,\n",
       "       3., 2., 3., 1., 0., 1., 3., 1., 1., 1., 3., 1., 2., 0., 2., 0., 2.,\n",
       "       2., 1., 0., 2., 0., 0., 2., 2., 2., 2., 3., 1., 1., 1., 0., 3., 2.,\n",
       "       3., 2., 0., 0., 1., 3., 1., 0., 3., 2., 2., 3., 1., 0., 1.])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_samples = x.shape[0]\n",
    "\n",
    "y_pred_dash = np.zeros(n_samples)\n",
    "\n",
    "for i, j, label in [(0,0,0), (0,1,1), (1,0,2), (1,1,3)]:\n",
    "\n",
    "    flat_list = []\n",
    "    flatten(tree[i][j], flat_list)\n",
    "\n",
    "    for sample_index in flat_list:\n",
    "        y_pred_dash[sample_index] = label\n",
    "    \n",
    "y_pred_dash"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adjusted Rand index\n",
    "\n",
    "```\n",
    "RI = (TP + TN) / (TP + FP + TN + FN)\n",
    "```\n",
    "\n",
    "It's like accuracy score in classification.\n",
    "\n",
    "The Adjusted Rand index ignoring permutations and with chance normalization.Non-adjusted measures such as the V-Measure show a dependency between the number of clusters and the number of samples: the mean V-Measure of random labeling increases significantly as the number of clusters is closer to the total number of samples used to compute the measure.\n",
    "\n",
    "Though the Rand Index may only yield a value between 0 and +1, the adjusted Rand index can yield negative values if the index is less than the expected index\n",
    "\n",
    "Source: [Wikipedia](https://en.wikipedia.org/wiki/Rand_index#Adjusted_Rand_index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import adjusted_rand_score\n",
    "\n",
    "adjusted_rand_score(y_pred, y_pred_dash)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linkage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "linkage_options = ['ward', 'average', 'single', 'complete']\n",
    "\n",
    "fig, axs = plt.subplots(1, len(linkage_options) + 1, figsize=(14, 5), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[i].get_title()}\\nActuals')\n",
    "\n",
    "for i, linkage in enumerate(linkage_options, 1):\n",
    "    \n",
    "    y_pred = AgglomerativeClustering(\n",
    "        n_clusters=4, linkage=linkage\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nAgglomerative\\nLinkage= {linkage}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_circles\n",
    "\n",
    "x, y = make_circles(n_samples=150, factor=0.5, noise=0.05, random_state=7)\n",
    "df_circles = pd.DataFrame({'x1': x[:,0], 'x2': x[:,1], 'y': y})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "linkage_options = ['complete', 'single']\n",
    "\n",
    "fig, axs = plt.subplots(1, len(linkage_options) + 1, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_circles[['x1', 'x2']], df_circles['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[0].get_title()}\\nActuals')\n",
    "\n",
    "for i, linkage in enumerate(linkage_options, 1):\n",
    "    \n",
    "    y_pred = AgglomerativeClustering(\n",
    "        n_clusters=2, affinity='manhattan', linkage=linkage\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nAgglomerativeClustering\\nLinkage= {linkage}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_circles\n",
    "\n",
    "x, y = make_circles(n_samples=150, factor=0.5, noise=0.08, random_state=7)\n",
    "df_circles = pd.DataFrame({'x1': x[:,0], 'x2': x[:,1], 'y': y})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "linkage_options = ['complete', 'single']\n",
    "\n",
    "fig, axs = plt.subplots(1, len(linkage_options) + 1, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_circles[['x1', 'x2']], df_circles['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[0].get_title()}\\nActuals')\n",
    "\n",
    "for i, linkage in enumerate(linkage_options, 1):\n",
    "    \n",
    "    y_pred = AgglomerativeClustering(\n",
    "        n_clusters=2, affinity='manhattan', linkage=linkage\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nAgglomerativeClustering\\nLinkage= {linkage}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "linkage_options = ['ward', 'average', 'single']\n",
    "\n",
    "fig, axs = plt.subplots(1, len(linkage_options) + 1, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_moons[['x1', 'x2']], df_moons['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[0].get_title()}\\nActuals')\n",
    "\n",
    "for i, linkage in enumerate(linkage_options, 1):\n",
    "    \n",
    "    y_pred = AgglomerativeClustering(\n",
    "        n_clusters=2, linkage=linkage\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nAgglomerativeClustering\\nLinkage= {linkage}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DBSCAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "dbscan = DBSCAN()\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "y_pred = dbscan.fit_predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(14, 6), sharey=False)\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "plot_2d_clusters(x, y_pred, axs[1])\n",
    "\n",
    "axs[0].set_title(f'Actuals: {axs[0].get_title()}')\n",
    "axs[1].set_title(f'KMeans: {axs[1].get_title()}')\n",
    "\n",
    "print('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "eps_options = [0.1, 1.0, 2.0, 5.0]\n",
    "\n",
    "fig, axs = plt.subplots(1, len(eps_options) + 1, figsize=(14, 5), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_blobs[['x1', 'x2']], df_blobs['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[0].get_title()}\\nActuals')\n",
    "\n",
    "for i, eps in enumerate(eps_options, 1):\n",
    "    \n",
    "    y_pred = DBSCAN(\n",
    "        eps=eps, min_samples=3, metric='euclidean', n_jobs=-1\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nDBSCAN\\neps = {eps}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "eps_options = [0.1, 0.25, 0.5]\n",
    "\n",
    "fig, axs = plt.subplots(1, len(eps_options) + 1, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_circles[['x1', 'x2']], df_circles['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[0].get_title()}\\nActuals')\n",
    "\n",
    "for i, eps in enumerate(eps_options, 1):\n",
    "    \n",
    "    y_pred = DBSCAN(\n",
    "        eps=eps, min_samples=3, metric='euclidean', n_jobs=-1\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nDBSCAN\\neps = {eps}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "min_samples_options = [3, 5, 10]\n",
    "\n",
    "fig, axs = plt.subplots(1, len(min_samples_options) + 1, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_circles[['x1', 'x2']], df_circles['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "axs[0].set_title(f'{axs[0].get_title()}\\nActuals')\n",
    "\n",
    "for i, min_samples in enumerate(min_samples_options, 1):\n",
    "    \n",
    "    y_pred = DBSCAN(\n",
    "        eps=0.25, min_samples=min_samples, metric='euclidean', n_jobs=-1\n",
    "    ).fit_predict(x)\n",
    "\n",
    "    plot_2d_clusters(x, y_pred, axs[i])\n",
    "\n",
    "    axs[i].set_title(f'{axs[i].get_title()}\\nDBSCAN\\nmin_samples = {min_samples}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.neighbors import NearestNeighbors\n",
    "\n",
    "x = df_circles[['x1', 'x2']]\n",
    "\n",
    "distances, _ = NearestNeighbors(n_neighbors=2).fit(x).kneighbors()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Distance to furthest neighbors')"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(14, 6))\n",
    "\n",
    "pd.Series(distances[:,-1]).sort_values().reset_index(drop=True).plot(title='k-Distance Graph', color='k', ax=ax)\n",
    "\n",
    "ax.set_xlabel('Data Samples')\n",
    "ax.set_ylabel('Distance to furthest neighbors')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "dbscan = DBSCAN(eps=0.9, min_samples=5, metric='euclidean', n_jobs=-1)\n",
    "\n",
    "x, y = df_imbalanced_blobs[['x1', 'x2']], df_imbalanced_blobs['y']\n",
    "y_pred = dbscan.fit_predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(14, 6), sharex=True, sharey=True)\n",
    "\n",
    "x, y = df_imbalanced_blobs[['x1', 'x2']], df_imbalanced_blobs['y']\n",
    "\n",
    "plot_2d_clusters(x, y, axs[0])\n",
    "plot_2d_clusters(x, y_pred, axs[1])\n",
    "\n",
    "axs[0].set_title(f'Actuals: {axs[0].get_title()}')\n",
    "axs[1].set_title(f'KMeans Clustering: {axs[1].get_title()}')\n",
    "\n",
    "\n",
    "print('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
